Multiplying complex numbers can be tough. Here are some reasons why it can feel tricky:

1. What They Are: Complex numbers are written as $a + bi$. Here, $a$ is the real part, and $b$ is the imaginary part. This way of writing them can be confusing, especially when using regular multiplication.

2. Using the Distributive Property: When you multiply two complex numbers, like $(a + bi)(c + di)$, you need to use the distributive property. This means you'll get several terms: $(a + bi)(c + di) = ac + adi + bci + (bdi^2).$ Since $i^2 = -1$, this can add to the confusion when you try to simplify.

3. Simplifying: During simplification, you often need to combine similar terms and change $i^2$ into a negative number. This can be a long process and mistakes can happen.

To handle these challenges, students should practice a lot. It's helpful to break the multiplication down into smaller, easier steps.

Also, using visuals, like Argand diagrams, can make it easier to understand how complex multiplication works.

Regular practice and understanding the concepts are really important to get better at this skill.